A car is driven east for a distance of 48 km, then north for 29 km, and then in a direction 27° east of north for 23 km. Determine (a) the magnitude of the car's total displacement from its starting point and (b) the angle (from east) of the car's total displacement measured from its starting direction.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter1: Introduction And Vectors
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A car is driven east for a distance of 48 km, then north for 29 km, and then in a direction 27° east of north for 23 km. Determine (a) the magnitude of the car's total displacement from its starting point and (b) the angle (from east) of the car's total displacement measured from its starting direction.     
 
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Step 1

Given value---

  • A car is driven east for a distance of 48 km, then north for 29 km, and then in a direction 27° east of north for 23 km.

We have to find---

  • Determine (a) the magnitude of the car's total displacement from its starting point and
  • (b) the angle (from east) of the car's total displacement measured from its starting direction.     
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